Axial Anomaly in Quasi-1D Chiral Superfluids

Abstract

The axial anomaly in a quasi-one-dimensional (quasi-1D) chiral p-wave superfluid model, which has a epsilon_{x} p_{x}+i epsilon_{y} p_{y}-wave gap in 2D is studied. The anomaly causes an accumulation of the quasiparticle and a quantized chiral current density in an inhomogeneous magnetic field. These effects are related to the winding number of the gap. By varying the parameters epsilon_{x} and epsilon_{y}, the model could be applicable to Sr2RuO4 near the second superconducting transition point, some quasi-1D organic superconductors and the fractional quantum Hall state at nu = 5 / 2 Landau level filling factor.